Efficient Quantum Error Mitigation for Unitary k-Designs | Paper Citation Record

Observation 6e9ba01e-4286-4431-bdfe-225e92c654c1 · outbound

This paper cites Now, in order to analyze the stability ofN2(Pi), we calculate its variance underP i ∼U P.

Efficient Quantum Error Mitigation for Unitary k-Designs Now, in order to analyze the stability ofN2(Pi), we calculate its variance underP i ∼U P

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Observation eb01d2a4-316a-4d40-bce1-83bfa3efc1b1 · outbound

This paper cites Thus, we need only consider the covariance summation over pairs of adjacent edges in our connectivity graph.

Efficient Quantum Error Mitigation for Unitary k-Designs Thus, we need only consider the covariance summation over pairs of adjacent edges in our connectivity graph

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Observation c95ac3e0-66ab-40d0-a1bd-32cde4188e41 · outbound

This paper cites (15) Using the principle of inclusion-exclusion, we can rewrite this as E Pi∼UP [X(v1,v2)X(v1,v′ 2)] = 1−( Pr Pi∼UP [X(v1,v2) = 0] + Pr Pi∼UP [X(v1,v′.

Efficient Quantum Error Mitigation for Unitary k-Designs (15) Using the principle of inclusion-exclusion, we can rewrite this as E Pi∼UP [X(v1,v2)X(v1,v′ 2)] = 1−( Pr Pi∼UP [X(v1,v2) = 0] + Pr Pi∼UP [X(v1,v′

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Efficient Quantum Error Mitigation for Unitary k-Designs Unresolved cited work

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Observation 8d9c30b7-ce81-47a7-8864-7cabe7428982 · outbound

This paper cites (16) It is clear that PrPi∼UP [X(v1,v2) = 0] = PrPi∼UP [X(v1,v′.

Efficient Quantum Error Mitigation for Unitary k-Designs (16) It is clear that PrPi∼UP [X(v1,v2) = 0] = PrPi∼UP [X(v1,v′

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Observation d1e05f42-6888-47d9-af6b-4813ae7a67ee · outbound

This paper cites 5 The last term, PrPi∼UP [X(v1,v2) = 0 ∩X (v1,v′.

Efficient Quantum Error Mitigation for Unitary k-Designs 5 The last term, PrPi∼UP [X(v1,v2) = 0 ∩X (v1,v′

Reference 6

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Observation be05eb34-1136-47df-a205-66898916b1f8 · outbound

This paper cites Since there are only three independent qubits (v1 is shared between the pairs), this is simply the probability that the Pauli string contains I at indices v1, v2, and v′.

Efficient Quantum Error Mitigation for Unitary k-Designs Since there are only three independent qubits (v1 is shared between the pairs), this is simply the probability that the Pauli string contains I at indices v1, v2, and v′

Reference 7

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Observation 853d2ff6-8109-4660-8511-9b33152a1a22 · outbound

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Efficient Quantum Error Mitigation for Unitary k-Designs Unresolved cited work

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Observation 6a88fac1-f27b-457b-bfde-93fc0c0db964 · outbound

This paper cites balanced.

Efficient Quantum Error Mitigation for Unitary k-Designs balanced

Reference 9

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Observation a63726c7-1b4a-4c2e-b79f-58a289378479 · outbound

This paper cites Using a fixed λtarget, find the number of equivalent gates per qubit pair,k(i,j).

Efficient Quantum Error Mitigation for Unitary k-Designs Using a fixed λtarget, find the number of equivalent gates per qubit pair,k(i,j)

Reference 10

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Observation d1c92807-928c-451a-a3c1-0156c81d9ae7 · outbound

This paper cites As such, each gate contributes a global depolarization parameter of approximatelyλ 15 16 target.

Efficient Quantum Error Mitigation for Unitary k-Designs As such, each gate contributes a global depolarization parameter of approximatelyλ 15 16 target

Reference 11

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Observation 362688c3-c2a2-45a5-b9d9-1ff70374f1a6 · outbound

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Efficient Quantum Error Mitigation for Unitary k-Designs Unresolved cited work

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Efficient Quantum Error Mitigation for Unitary k-Designs Unresolved cited work

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Observation 8ac845f7-096a-4a7c-bb43-a025344e34fe · outbound

This paper cites Produce an average distribu- tionD noisy, avg ={b i, pi}.

Efficient Quantum Error Mitigation for Unitary k-Designs Produce an average distribu- tionD noisy, avg ={b i, pi}

Reference 14

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Efficient Quantum Error Mitigation for Unitary k-Designs Unresolved cited work

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Observation c1beb8d4-5877-44cd-a2a6-7bc69d19ca5c · outbound

This paper cites As such, the final step is to produceD∗ = projCD′, where C is the probability simplex of appropriate dimension.

Efficient Quantum Error Mitigation for Unitary k-Designs As such, the final step is to produceD∗ = projCD′, where C is the probability simplex of appropriate dimension

Reference 16

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Observation 5e42143c-24bc-4c82-860c-11a60782ce01 · outbound

This paper cites Hellinger distance.

Efficient Quantum Error Mitigation for Unitary k-Designs Hellinger distance

Reference 17

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Observation a669fd4a-5f50-4760-8516-809b915cd5a8 · outbound

This paper cites As a result, there is very little additional optimization that circuit balanc- ing can achieve.

Efficient Quantum Error Mitigation for Unitary k-Designs As a result, there is very little additional optimization that circuit balanc- ing can achieve

Reference 18

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Observation f218504b-850d-4111-afeb-e7674e9095fc · outbound

This paper cites We introduce co- herent error via a fixed XX-rotation after each CNOT gate, parametrized by angleθ.

Efficient Quantum Error Mitigation for Unitary k-Designs We introduce co- herent error via a fixed XX-rotation after each CNOT gate, parametrized by angleθ

Reference 19

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Efficient Quantum Error Mitigation for Unitary k-Designs Unresolved cited work

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Efficient Quantum Error Mitigation for Unitary k-Designs Unresolved cited work

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Observation edf71bb6-b9b8-4e0b-9ea0-bf751d1fba73 · outbound

This paper cites First, we note that without mitigation, the mean Hellinger distance is quite high and is not significantly affected by varying the coherent error strength.

Efficient Quantum Error Mitigation for Unitary k-Designs First, we note that without mitigation, the mean Hellinger distance is quite high and is not significantly affected by varying the coherent error strength

Reference 22

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Observation a0c97325-1220-4d99-bf5a-e2754cf6603f · outbound

This paper cites We now turn to the realistic setting of benchmarking this method on an actual quantum computer.

Efficient Quantum Error Mitigation for Unitary k-Designs We now turn to the realistic setting of benchmarking this method on an actual quantum computer

Reference 23

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Efficient Quantum Error Mitigation for Unitary k-Designs Unresolved cited work

Reference 24

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Observation 26309adf-d92b-4f05-a60c-f6cae618ce6f · outbound

This paper cites Rather than directly reporting depo- larizing parameters, this reports estimated gate infidelities from benchmarking,i.e., the 2-qubit gate infidelities r.

Efficient Quantum Error Mitigation for Unitary k-Designs Rather than directly reporting depo- larizing parameters, this reports estimated gate infidelities from benchmarking,i.e., the 2-qubit gate infidelities r

Reference 25

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Observation 9d0e6d3d-86e8-4f96-a2f5-d5b64a81eb94 · outbound

This paper cites balanced.

Efficient Quantum Error Mitigation for Unitary k-Designs balanced

Reference 26

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Observation 482dd1bc-9fd7-4614-b042-b8a633e3811d · outbound

This paper cites For our device runs, we have used10000shots per circuit and20Pauli twirls such that the shots are evenly distributed over each twirl.

Efficient Quantum Error Mitigation for Unitary k-Designs For our device runs, we have used10000shots per circuit and20Pauli twirls such that the shots are evenly distributed over each twirl

Reference 27

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Observation 69891e6d-7f06-4950-9b39-34b220044056 · outbound

This paper cites However, when estimating circuit-wide depolarization, it will not penalize overestimates.

Efficient Quantum Error Mitigation for Unitary k-Designs However, when estimating circuit-wide depolarization, it will not penalize overestimates

Reference 28

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Observation 33c2550f-cc23-4682-a086-3fb704ba6a3a · outbound

This paper cites Another source of error associated with randomized benchmarking is the presence of crosstalk.

Efficient Quantum Error Mitigation for Unitary k-Designs Another source of error associated with randomized benchmarking is the presence of crosstalk

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This paper cites Gambetta, and Joseph Emerson.

Efficient Quantum Error Mitigation for Unitary k-Designs Gambetta, and Joseph Emerson

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Efficient Quantum Error Mitigation for Unitary k-Designs Benchmarking quantum logic op- erations relative to thresholds for fault tolerance.npj Quantum Information, 2023

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Efficient Quantum Error Mitigation for Unitary k-Designs P lodzie´ n, Lecture notes on information scrambling, quantum chaos, and haar-random states, arXiv preprint arXiv:2511.14397 (2025)

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Efficient Quantum Error Mitigation for Unitary k-Designs Resource-efficient context-aware dy- namical decoupling embedding for arbitrary large-scale quantum algorithms.PRX Quantum, 2024

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Efficient Quantum Error Mitigation for Unitary k-Designs Sutherland et al

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Efficient Quantum Error Mitigation for Unitary k-Designs Nation et al

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Efficient Quantum Error Mitigation for Unitary k-Designs Simulating prethermalization using near-term quantum computers.PRX Quantum, 2023

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Efficient Quantum Error Mitigation for Unitary k-Designs Tackling the qubit mapping problem for nisq-era quantum devices.ACM, 2019

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Observation a7a641ac-5181-48fd-b46e-79e9dcf77bb6 · outbound

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